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The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics
Abstract
The equations of hydrodynamics—continuity equation, equation of motion, and equation of energy transport—are derived by means of the classical statistical mechanics. Thereby, expressions are obtained for the stress tensor and heat current density in terms of molecular variables. In addition to the familiar terms occurring in the kinetic theory of gases, there are terms depending upon intermolecular force. The contributions of intermolecular force to the stress tensor and heat current density are expressed, respectively, as quadratures of the density and current density in the configuration space of a pair of molecules.
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Citations
Cited by
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Allen, M. P., & Tildesley, D. J. (2017) · doi:10.1093/oso/9780198803195.001.0001 · Cited by 20,945
What is "liquid"? Understanding the states of matter
Barker, J. A., & Henderson, D. (1976) · Reviews of Modern Physics · doi:10.1103/revmodphys.48.587 · Cited by 2,104
A new look at the atomic level virial stress: On continuum-molecular system equivalence
Zhou, M. (2003) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2003.1127 · Cited by 569
(2009) · JuSER (Forschungszentrum Jülich) · Cited by 465
Pressure tensor for inhomogeneous fluids
Todd, B. D., Evans, D. J., & Daivis, P. J. (1995) · Physical Review E · doi:10.1103/physreve.52.1627 · Cited by 448
Metadata
- Authors
- Irving, J. H., & Kirkwood, J. G.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1950-06-01
- Volume
- 18
- Issue
- 6
- Pages
- 817-829
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W1982001674
- Cited by
- 2,547
- References
- 0
- FWCI
- 14.30
- Type
- journal article
- Language
- en
- Open access
- closed
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- Irving, J. H., & Kirkwood, J. G. (1950). The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics. The Journal of Chemical Physics. https://doi.org/10.1063/1.1747782
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